Named after Agatharchides of Cnidos - Greek geographer (c. 116 B.C.).
To the east-southeast is the crater Bullialdus, and to the south-southwest lies Loewy. The interior of the crater has been inundated by lava in the past, resurfacing the floor. The damaged outer wall varies considerably in height, ranging from level with the surface to rising as high as 1.5 km. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.